Kollar, Janos Interpolation property in semigroups. (English) Zbl 0425.20055 Semigroup Forum 17, 337-350 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 20M99 Semigroups 20M14 Commutative semigroups 20M15 Mappings of semigroups Keywords:congruence-free semigroups; interpolation property; semigroup polynomial; embedding theorems; congruence-free monoid; cancellative semigroup Citations:Zbl 0136.022 PDFBibTeX XMLCite \textit{J. Kollar}, Semigroup Forum 17, 337--350 (1979; Zbl 0425.20055) Full Text: DOI EuDML References: [1] BOKUT’,L.A.:Some embedding theorems for rings and semigroups, I (in Russian), Sib.Mat.J. 4 (1963), 500–518. · Zbl 0136.02204 [2] CHEHATA,C.G.:An algebraically simple ordered group, Proc. London Math.Soc. 2 (1952), 183–197. · Zbl 0046.02501 · doi:10.1112/plms/s3-2.1.183 [3] CLIFFORD,A.H. – Preston, G.B.:The algebraic theory of semigroups, Volume I,(1964), Amer.Math.Soc.Math. Surveys. [4] FUCHS,L.:Partially ordered algebraic systems, Pergamon Press, 1963. · Zbl 0137.02001 [5] HIGMAN,G. –NEUMANN,B.H. –NEUMANN,H.:Embedding theorems for groups, J. London Math.Soc. 24 (1949), 247–254. · Zbl 0034.30101 · doi:10.1112/jlms/s1-24.4.247 [6] JECH, T.J.:Lectures in set theory with particular emphasis on the method of forcing, Lecture Notes in Math. 217. Springer Verlag, 1971. · Zbl 0236.02048 [7] KAISER,H.K.:Über lokal polynomvollständige universelle Algebren, Abh.Math.Sem.Univ.Hamburg 43 (1975), 158–165. · Zbl 0308.08002 · doi:10.1007/BF02995945 [8] KAISER, H.K.,:Contributions to the theory of polynomially complete algebras, An.Acad.Brasil. Ci. 48 (1976), 1–5. · Zbl 0355.08001 [9] MARKI,L.:Über einige Vollständigkeitsbegriffe in Halbgruppen und Gruppen, Acta Math.Acad.Sci. Hung. 26 (1975), 343–346. · Zbl 0324.08007 · doi:10.1007/BF01902342 [10] MÁRKI,L.: Problem 8,Proc. of the Colloquium on Semigroup Theory (Szeged, 1976), Colloq.Math.Soc.J.Bolyai, 20, North Holland (to appear). [11] ŠUTOV, E.G.:Embedding of semigroups into simple and complete semigroups, (in Russian), Math.Sb. 62 (1963), 496–511. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.